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Finding the Fourth Proportional to 153,007, 211,144.98 and 85,023.64

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Solution

The fourth proportional to 153,007, 211,144.98 and 85,023.64 is: 117,330.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,007 : 211,144.98 = 85,023.64 : x
  2. Step 2: Convert to fraction form
    153,007/211,144.98 = 85,023.64/x
  3. Step 3: Cross multiply
    153,007x = 211,144.98 × 85,023.64
  4. Step 4: Simplify right side
    153,007x = 17,952,314,767.33
  5. Step 5: Solve for x
    x = 17,952,314,767.33/153,007
  6. Step 6: Final answer
    x = 117,330.02

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.